Lee uses the graph of the function f (x) to express his projected earnings at his new job. What is the domain of f(x) in this context? Projected Earnings 40 35 30 25 20 15 10 1. 2 3 Salary Earned (in dollars)

Q: Let the graph below represent the function fx). a. For what values of x is f'(x) = 0? b. Describe…

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Q: (3) Create the function which best describes the graph show below. f(x) 8 6 -5 -3 -7 -6 -5 -4 -3 -2…

A: Given graph is described by piecewise function

Q: (4) Draw the graph of the function f(x) = 2¹. (5) Draw the graph of the function f(x) = 3.

A: Consider the functions 4)     f(x)=2x5)     f(x)=3x

Q: (3) Create the function which best describes the graph show below. f(x)_8 -7- 6- -5- 4- 3- 2 -7 -6…

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Q: Use the graphs of f and g to evaluate the functions. y-fx) y g(x) 3. 2 4 (e) (f- g)(1) (b) (fg)(3)…

A: (a) (f - g)(1) = f(1) - g(1) = 2 - 3 = - 1

Q: What is the effect on the graph of the function f(x)= √1/2x when f(x) is replaced with f(x)+2,A,B,C,…

A: Substitute f(x)+2 in place of f(x).

Q: 5. Sketch the graph of the following functions based on your knowledge of the graph of f(x) = |리1.…

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Q: Graph the function defined by g(x) = |x + 2|.

A: Given function is, gx=x+2. Graph the absolute value using the vertex and few selected points.   x…

Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: SOLUTION-

Q: 3. Provided the graph of a function f below. y = f(x) 12 10

A: Given the graph of a function

Q: S-2x + 1, x < 0 x2 – 1, x 2 0 1) f(x) =

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Q: Sketch the graphs of the following functions. (a) f(x) = x2   (b) g(x) = x3    (b) h(x) = √x

A: Graph of fx=x2 We have f-x=-x2=x2 Graph is symmetric about y-axis.

Q: Sketch graphs of the following functions by hand.(a) f(x) = x2 (b) g(x) = x3

A: (a) Given function is fx=x2. List the coordinates for above function as in below table. x fx=x2…

Q: (3) Create the function which best describes the graph show below. f(x) 8- -7- 6. -5 4- -2- -7 -6 -5…

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Q: Find the points of inflection and discuss the concavity of the graph of the function. g(x) = x√(x +…

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Q: Sketch the graph of a function f for which f ' (0)=3

A: Given: f'0=3 To sketch: The graph of function f with the given property,

Q: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: determine where the graph of the function is concave upward and where it is concave downward. g(x)=…

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: (3) Create the function which best describes the graph show below. f(x) 8 -7 -6 -5 4- -2 -7 -6 10 11

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Q: Draw an accurate graph of the function f(2) 3 10

A: The given function is fx=3-56x. Consider some values for x and find the corresponding f(x) values…

Q: (3) Create the function which best describes the graph show below. f(x) 8 -7- 6 4. 2. -6 5 -4 -3 -2…

A: Garaph

Q: Investigate the behavior of the function as x grows large by making a table of function values and…

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Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

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Q: On a piece of graph paper, draw the graph of the function y = -1/2 x + 1. What is the domain of the…

A: (A) Drawing graphSince, our curve is equation of line so, we can find two points and then join them…

Q: Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is…

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Q: b) Differentiate between the domain and range of your function.

A: Topic  =Functions

Q: Consider the graph of a function, f(x), shown below. 4- 3- 2- 6. 7 -1– -2-

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Q: What is the graph of the function f (x) = x +9x? + 2x – 48? 50 50 40 40 30 -30 20 20 10 10 -2 -10…

A: Explained below... Put the x value to find the coordinate through which curve passes and then match…

Q: describe the behavior of the following function and sketch their graph a.f(x)=1\x b.G(x)=2^2…

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Q: 12) Sketch the graph of the piecewise function below. 1/2x-51 f(x) =-(x-8)=² +6 I5 10 10 20 10

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Q: Analyze and sketch a graph of the function f(x)= 1+x

A: We have the given function as fx=x31+x3         ⋯⋯1 As we know that, if the degrees of the numerator…

Q: Sketch the graph of the function by first making a table of values. f(x) = 1

A: This question can be solved using the concept of plotting of graphs.

Q: (a) What is a one-to-one function?(b) How can you tell from the graph of a function whether it is…

A: (a) The function is said to be one-one function if no two elements in the domain of the function…

Q: Sketch the graphs of the functions. f(x) = 3x and g(x) = x/x + 1 %3D y y 30 30 20 20 10 10 X -5 5 -5…

A: Consider the given functions, fx=3x and gx=xx+1 first, find the point of intersection of the graphs,…

Q: Sketch the graph of the f(x) = 3 – et+1 below and state its domain and range.

A: Given that  f(x)=3-e^(x+1)

Q: Sketch the graph of the function by first making a table of values. f(x) = −x + 4,    −4 ≤ x ≤ 4 x…

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Q: Consider the graph of the functions f(x)=(x−5)² and g(x)=−3x+13. What are the points at which…

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Q: (3) Create the function which best describes the graph show below. f(x) -8 6- 4. -3 -2 6. 7. 8 9. 10…

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Q: Describe the domain and range of this function. f (x) = 2(3)"-1 + 4 10 8. 5- -3 9.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the function. f(x) = x +2 Use the graphing utility to graph f. x+2 f(x) = y 20

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (3) Create the function which best describes the graph show below. f(x) 6 7. 5. 3. -2 1. -6 -5 -4 -3…

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Q: Suppose a classmate observes that f "(x) 0 for a function f. The student concludes that the graph…

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Q: (3) Create the function which best describes the graph show below. f(x) 8 -7 5 4. -3 2- -6 -5 -4 -3…

A: For the given graph we need to define the function accordingly.  As per the answering guidelines, we…

Q: What are the features of the function f(x) 1 graphed below?

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Q: What is the relation between the differentiability andcontinuity of a function?

A: All differentiable functions are continuous, but not all continuous functions are differentiable.

Q: Use the graph of f(x) to identify the graph of f (x). 20 15 10 10 -15 20 15 10 20 15 10 10 10- 15 15…

A: Definition used -                   Sign of derivative of a function- If the graph is increasing in…

Q: (3) Create the function which best describes the graph show below. f(x) 8 -7- -6. -5 4- -3 -2 -6 -4…

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Q: Sketch the graph of the function. (4+x, x≤2 x² + 2, x > 2 f(x) = -10 -5 10 5 5 -10 5 10 X - 10 -5…

A: see below the sketch of the given function Option(C) i.e., graph in the left bottom is correct.